29972487174240 has 768 divisors, whose sum is σ = 107550272793600. Its totient is φ = 6955487428608.

The previous prime is 29972487174211. The next prime is 29972487174247. The reversal of 29972487174240 is 4247178427992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29972487174247) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 36154990146 + ... + 36154990974.

It is an arithmetic number, because the mean of its divisors is an integer number (140039417700).

Almost surely, 2^{29972487174240} is an apocalyptic number.

29972487174240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29972487174240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53775136396800).

29972487174240 is an abundant number, since it is smaller than the sum of its proper divisors (77577785619360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

29972487174240 is a wasteful number, since it uses less digits than its factorization.

29972487174240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1999 (or 1991 counting only the distinct ones).

The product of its (nonzero) digits is 113799168, while the sum is 66.

The spelling of 29972487174240 in words is "twenty-nine trillion, nine hundred seventy-two billion, four hundred eighty-seven million, one hundred seventy-four thousand, two hundred forty".